Homogeneous Einstein–Randers metrics on spheres

Homogeneous Einstein–Randers metrics on spheres

In this paper, we study the homogeneous Einstein–Randers metrics on spheres. It turns out that we can find out all the homogeneous non-Riemannian Einstein–Randers metrics on spheres. Furthermore, we obtain a complete classification of such metrics under isometries. Using this, we present a large num...

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Veröffentlicht in:Nonlinear analysis 2011-12, Vol.74 (17), p.6295-6301
Hauptverfasser: Wang, Hui, Huang, Libing, Deng, Shaoqiang
Format: Artikel
Sprache:eng
Schlagworte:
Classification
Curvature
Einstein–Randers spaces
Exact sciences and technology
Flags
Invariant vector fields
Mathematical analysis
Mathematics
Nonlinearity
Ricci scalar
Sciences and techniques of general use
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Zusammenfassung:In this paper, we study the homogeneous Einstein–Randers metrics on spheres. It turns out that we can find out all the homogeneous non-Riemannian Einstein–Randers metrics on spheres. Furthermore, we obtain a complete classification of such metrics under isometries. Using this, we present a large number of homogeneous Einstein–Randers metrics of non-constant flag curvature.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2011.06.008